Honda 2000i won't have enough jam to run the AC as far as I know.
It will power the RV, microwave and charge the batteries for you.
My brother in law upgraded to the 3000i and him and I both plug into it. And I believe he has no problems running his AC with it.
Either way Honda makes a great generator. Super quiet and very portable.
Another thing to keep in mind is that Honda makes a cable that you can parallel 2 generator together to share the load. This is sometimes a nicer option than buying a large, heavy generator.
http://powerequipment.honda.com/gene...lel-capability